论文标题
散装重建和张量网络的表面增长方案
Surface growth scheme for bulk reconstruction and tensor network
论文作者
论文摘要
我们提出了一种表面生长方法,以重建由huygens'Priminciph的散装时空几何形状重建。我们首先构建了一个张量网络,该网络对应于特殊的表面增长图片,并使用单发纠缠蒸馏(OSES)方法具有球形对称性和分形特征,并表明所产生的张量网络等同于类似Mera的张量网络,这证明了Mera Like Tensor网络的确比Ads Spaceptime Space of Space of Space of Space of Space of Space speptime。此外,我们通过使用表面/状态对应关系和广义的RT公式来概括原始的OSS方法,以描述更通用的表面生长图片,从而对表面生长过程有了更深刻的理解,并为纠缠楔重建的想法提供了一种具体和直观的方式。
We propose a surface growth approach to reconstruct the bulk spacetime geometry, motivated by Huygens'principle of wave propagation. We first construct a tensor network corresponding to a special surface growth picture with spherical symmetry and fractal feature using the one-shot entanglement distillation (OSED)method and show that the resulting tensor network is equivalent to the MERA-like tensor network, which gives a proof that the MERA-like tensor network is indeed a discretized version of the time slice of AdS spacetime, rather than just an analogy. Furthermore, we generalize the original OSED method to describe more general surface growth picture by using of surface/state correspondence and generalized RT formula, which leads to a more profound understanding for the surface growth process and provides a concrete and intuitive way for the idea of entanglement wedge reconstruction.